What is the Greatest Common Factor of 42585 and 42591?

Greatest common factor (GCF) of 42585 and 42591 is 3.

GCF(42585,42591) = 3

We will now calculate the prime factors of 42585 and 42591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42585 and 42591.

How to find the GCF of 42585 and 42591?

We will first find the prime factorization of 42585 and 42591. After we will calculate the factors of 42585 and 42591 and find the biggest common factor number .

Step-1: Prime Factorization of 42585

Prime factors of 42585 are 3, 5, 17, 167. Prime factorization of 42585 in exponential form is:

42585 = 3¹ × 5¹ × 17¹ × 167¹

Step-2: Prime Factorization of 42591

Prime factors of 42591 are 3, 14197. Prime factorization of 42591 in exponential form is:

42591 = 3¹ × 14197¹

Step-3: Factors of 42585

List of positive integer factors of 42585 that divides 42585 without a remainder.

1, 3, 5, 15, 17, 51, 85, 167, 255, 501, 835, 2505, 2839, 8517, 14195

Step-4: Factors of 42591

List of positive integer factors of 42591 that divides 42585 without a remainder.

1, 3, 14197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42585 and 42591. The biggest common factor number is the GCF number.
So the greatest common factor 42585 and 42591 is 3.

Also check out the Least Common Multiple of 42585 and 42591